A number is equal to twice a smaller number plus 3. The same number is equal to twice the sum of the smaller number and 1. How many solutions are possible for this situation? Answer Options:

.Infinitely many solutions exist because the two situations describe the same line.
.Exactly one solution exists because the situation describes two lines that have different slopes and different y-intercepts.

.No solutions exist because the situation describes two lines that have the same slope and different y-intercepts.

.Exactly one solution exists because the situation describes two lines with different slopes and the same y-intercept.